Theorem bnj334

Description: /\ -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (Proof shortened by Andrew Salmon, 14-Jun-2011) (New usage is discouraged.)

	Ref	Expression
Assertion	bnj334	|- ( ( ph /\ ps /\ ch /\ th ) <-> ( ch /\ ph /\ ps /\ th ) )

Proof

Step	Hyp	Ref	Expression
1		bnj290	|- ( ( ph /\ ps /\ ch /\ th ) <-> ( ph /\ ch /\ th /\ ps ) )
2		bnj257	|- ( ( ph /\ ch /\ th /\ ps ) <-> ( ph /\ ch /\ ps /\ th ) )
3		bnj312	|- ( ( ph /\ ch /\ ps /\ th ) <-> ( ch /\ ph /\ ps /\ th ) )
4	1 2 3	3bitri	|- ( ( ph /\ ps /\ ch /\ th ) <-> ( ch /\ ph /\ ps /\ th ) )